Brayden Schenn, Matt Read, Scott Hartnell, Jaromir Jagr and Eric Wellwood scored for the Flyers.
Bryzgalov has finally played like the goalie the Flyers expected when they gave him a $51 million, nine-year contract. After struggling much of the season, he's 7-2 with a 2.10 goals-against average while making 10 straight starts.
Fans who booed him just last month at the Wells Fargo Center chanted "Bryz! Bryz! Bryz!" in the third period.
The victory moved the Flyers within two points of fourth-place Pittsburgh in the Eastern Conference.
The Southeast Division-leading Panthers, seeking their first playoff berth since 2000, entered with a two-point lead over Winnipeg, which was eighth in the conference.
The Flyers, already missing Chris Pronger for the season, played without defensemen Kimmo Timonen, Andrej Meszaros and Pavel Kubina.
Bryzgalov was all the defense Philadelphia needed. He earned his fourth shutout of the season, and the 27th of his career.
Schenn gave the Flyers a rare 1-0 lead midway through the first period when he scored on the power play. Claude Giroux slid the puck across the ice from the left face-off circle to Schenn, who was in the right circle. The puck skipped by Hartnell, who whiffed on a shot attempt. Schenn then one-timed it past Jose Theodore as the Flyers scored first for just the second time in 12 games.
Read put the Flyers up 2-0 early in the second period with his rookie-leading 19th goal of the season. Danny Briere, looking for his first goal in two months, got two solid shots at Theodore, and Read poked in the rebound off the second one. Briere hasn't scored a goal in 21 games since Jan. 7.
Briere nearly snapped his drought later in the period when he backhanded a shot toward an open net, but defenseman Jason Garrison slid across the crease and made the save.
Hartnell scored a breakaway goal to make it 3-0 later in the second. Hartnell stole a pass in Philadelphia's zone, outskated two trailing Panthers and snapped a wrist shot past Theodore. Hartnell registered his 60th point, tying his career best. He extended his career-high goals to 32.
Jagr's power-play goal made it 4-0 in the third. He fired a wicked slap shot through a screen for his 18th goal. The 40-year-old forward was doubtful after leaving the previous game with a hip injury, but was able to play for injury-depleted Philadelphia.
Flyers forward Jakub Voracek sat out after getting flattened by a hard check by Detroit's Niklas Kronwall two nights earlier.
Notes: All three coaches on Florida's bench have Flyers ties. Head coach Kevin Dineen and assistant Gord Murphy played for Philadelphia. Assistant Craig Ramsay was the Flyers' head coach in 2000-01. ... Panthers F Kris Versteeg missed his fifth straight game. Versteeg played 27 games for the Flyers last year. ... Florida fell behind 2-0 for the six of their last seven games. ... The Flyers have won five straight and six of their last seven games against the Panthers.